A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Find all distinct roots(real or complex) of
z^2 + (9+3i)z + (24+11i) in the form a+bi.
Hint: You may have to complete the square
 2 years ago
Find all distinct roots(real or complex) of z^2 + (9+3i)z + (24+11i) in the form a+bi. Hint: You may have to complete the square

This Question is Closed

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0http://answers.yahoo.com/question/index?qid=20121124223053AAchfPc the bottom explanation of this link might be it, but i dont understand it

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0have you figured anything out?

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large z^2+(9+3i)z+(2411i)=0\]\[\large z^2+(9+3i)z=(2411i)\]to complete squares, add (b/2)^2 to both sides, where b=9+3i \[\large z^2+(9+3i)z+\left( \frac{ 9+3i }{ 2 } \right)^2=(2411i)+\left( \frac{ 9+3i }{ 2 } \right)^2\]

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0yeah im at this step... what do you do next?

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0\[(z + (\frac{ 9 + 3i }{ 2 }))^2 = 24 + 11i + 18 +\frac{ 27i }{ 2 }\]

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0\[z + (\frac{ 9+3i }{ 2 }) = \pm \sqrt{\frac{ 12 + 5i}{ 2 }} \]

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0i dont get how the person completed the square in the yahoo link..

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0\[z = (\frac{ 9+3i }{ 2}) \pm \sqrt{\frac{ 12 + 5i }{ 2 }}\]

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0it would be so much easier if the square root wasnt there...we could just add them up easily

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0from the yahoo answers link: z² + (2−4i)z = (11+10i) z² + (2−4i)z + (3 4i) = (11+10i) + (3 4i)

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0what i dont get is where the (34i) comes from
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.